1298712457728 has 960 divisors, whose sum is σ = 4541746809600. Its totient is φ = 356874190848.

The previous prime is 1298712457717. The next prime is 1298712457729. The reversal of 1298712457728 is 8277542178921.

1298712457728 is a `hidden beast` number, since 1 + 2 + 98 + 71 + 2 + 457 + 7 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1298712457729) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6592448926 + ... + 6592449122.

It is an arithmetic number, because the mean of its divisors is an integer number (4730986260).

Almost surely, 2^{1298712457728} is an apocalyptic number.

1298712457728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1298712457728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270873404800).

1298712457728 is an abundant number, since it is smaller than the sum of its proper divisors (3243034351872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1298712457728 is an equidigital number, since it uses as much as digits as its factorization.

1298712457728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 349 counting only the distinct ones).

The product of its digits is 31610880, while the sum is 63.

The spelling of 1298712457728 in words is "one trillion, two hundred ninety-eight billion, seven hundred twelve million, four hundred fifty-seven thousand, seven hundred twenty-eight".